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23212203102 = 233111491631609
BaseRepresentation
bin10101100111100011…
…100001110001011110
32012220200212002112000
4111213203201301132
5340014310444402
614355154023130
71451135320344
oct254743416136
965820762460
1023212203102
119931757830
1245b9877aa6
13225c029a2a
1411a2b69994
1590cc79c1c
hex5678e1c5e

23212203102 has 128 divisors (see below), whose sum is σ = 57032640000. Its totient is φ = 6939613440.

The previous prime is 23212203101. The next prime is 23212203107. The reversal of 23212203102 is 20130221232.

23212203102 is a `hidden beast` number, since 232 + 122 + 0 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212203101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14425674 + ... + 14427282.

It is an arithmetic number, because the mean of its divisors is an integer number (445567500).

Almost surely, 223212203102 is an apocalyptic number.

23212203102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23212203102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28516320000).

23212203102 is an abundant number, since it is smaller than the sum of its proper divisors (33820436898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23212203102 is a wasteful number, since it uses less digits than its factorization.

23212203102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23212203102 its reverse (20130221232), we get a palindrome (43342424334).

The spelling of 23212203102 in words is "twenty-three billion, two hundred twelve million, two hundred three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 149 163 198 297 298 326 447 489 594 894 978 1341 1467 1609 1639 1793 2682 2934 3218 3278 3586 4023 4401 4827 4917 5379 8046 8802 9654 9834 10758 14481 14751 16137 17699 24287 28962 29502 32274 35398 43443 44253 48411 48574 53097 72861 86886 88506 96822 106194 145722 159291 218583 239741 262267 267157 318582 437166 477873 479482 524534 534314 655749 719223 786801 801471 955746 1311498 1438446 1573602 1602942 2157669 2360403 2404413 2637151 2884937 4315338 4720806 4808826 5274302 5769874 6473007 7081209 7213239 7911453 8654811 12946014 14162418 14426478 15822906 17309622 23734359 25964433 39077783 47468718 51928866 71203077 77893299 78155566 117233349 142406154 155786598 234466698 351700047 429855613 703400094 859711226 1055100141 1289566839 2110200282 2579133678 3868700517 7737401034 11606101551 23212203102